1 / 29

Chapter 8 PD-Method and Local Ratio

Chapter 8 PD-Method and Local Ratio. Ding-Zhu Du. (1) Duality of LP. Dual LP. Primal. Dual. Lemma. Proof. Theorem. Proof. Complementary Slackness Condition. Remark. Chapter 8 PD-Method and Local Ratio. Ding-Zhu Du. (2) Primal-Dual Method. Primal and Dual.

ifeoma-young
Download Presentation

Chapter 8 PD-Method and Local Ratio

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 8 PD-Method and Local Ratio Ding-Zhu Du (1) Duality of LP

  2. Dual LP Primal Dual

  3. Lemma Proof.

  4. Theorem

  5. Proof.

  6. Complementary Slackness Condition Remark

  7. Chapter 8 PD-Method and Local Ratio Ding-Zhu Du (2) Primal-Dual Method

  8. Primal and Dual

  9. Complementary Slackness Condition Primal c-s Condition Dual c-s Condition Remark

  10. General Cover M × n

  11. Primal and Dual

  12. Idea Question:

  13. Idea

  14. Lemma Proof

  15. Lemma Proof

  16. Two observations

  17. Primal and Dual 1. Is redundant? Yes!!!

  18. Complementary-Slackness

  19. 2.Could we explain the approximation without using LP?Yes!!!

  20. A Special Case

  21. Weight Decomposition

  22. Covering Type M × n

  23. Packing Type m × n

  24. Thanks, End

More Related